Find the length of sides in simplest radical form with a rational denominator.

Given:

In a right angle triangle, two interior angles are 60° and 30°, and their opposite sides are x and 3 respectively.

To find:

The length of side x in simplest radical form with a rational denominator.

Solution:

In a right angle triangle,

Using this formula for the given triangle, we get

On cross multiplication, we get

Therefore, the length of side x in simplest radical form is units.

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: